3. Suppose that the profit function of a firm is given by: П [w° +r°]™° where p is the output price, and w and r are the input prices of labor and capital respectively. a) Prove the homogeneity property of the profit function. b) Derive the output supply and input demand functions for K and L.

ENGR.ECONOMIC ANALYSIS
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Chapter1: Making Economics Decisions
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3. Suppose that the profit function of a firm is given by:
1+B
П
[w° +r°]P
where p is the output price, and w and r are the input prices of labor and capital
respectively.
a) Prove the homogeneity property of the profit function.
b) Derive the output supply and input demand functions for K and L.
Transcribed Image Text:3. Suppose that the profit function of a firm is given by: 1+B П [w° +r°]P where p is the output price, and w and r are the input prices of labor and capital respectively. a) Prove the homogeneity property of the profit function. b) Derive the output supply and input demand functions for K and L.
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